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968940 = 223257769
BaseRepresentation
bin11101100100011101100
31211020010200
43230203230
5222001230
632433500
711143620
oct3544354
91736120
10968940
11601a85
123a8890
1327c04b
141b3180
15142160
hexec8ec

968940 has 72 divisors (see below), whose sum is σ = 3363360. Its totient is φ = 221184.

The previous prime is 968939. The next prime is 968959. The reversal of 968940 is 49869.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 968895 and 968904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876 + ... + 1644.

2968940 is an apocalyptic number.

968940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681680).

968940 is an abundant number, since it is smaller than the sum of its proper divisors (2394420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968940 is a wasteful number, since it uses less digits than its factorization.

968940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 968940 is about 984.3474996159. The cubic root of 968940 is about 98.9537586312.

The spelling of 968940 in words is "nine hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 769 1260 1538 2307 3076 3845 4614 5383 6921 7690 9228 10766 11535 13842 15380 16149 21532 23070 26915 27684 32298 34605 46140 48447 53830 64596 69210 80745 96894 107660 138420 161490 193788 242235 322980 484470 968940